Global Energy Solution to the Schrödinger Equation Coupled with the Chern‐Simons Gauge and Neutral Field

Hyungjin Huh and Bora Moon

Advances in Mathematical Physics, 2018, vol. 2018, issue 1

Abstract: We study the Cauchy problem of the Chern‐Simons‐Schrödinger equations with a neutral field, under the Coulomb gauge condition, in energy space H1(R2). We prove the uniqueness of a solution by using the Gagliardo‐Nirenberg inequality with the specific constant. To obtain a global solution, we show the conservation of total energy and find a bound for the nondefinite term.

Date: 2018
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https://doi.org/10.1155/2018/3962062

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2018:y:2018:i:1:n:3962062

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